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3 years ago

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Find the similarity ratio of a cube with volume 216 ft to a cube with volume 1000ft

1 answer:

Vika [28.1K]3 years ago

3 0

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-----------------------------\\\\
\cfrac{s^3}{s^3}\implies \cfrac{216}{1000}\implies \cfrac{\sqrt[3]{216}}{\sqrt[3]{1000}}\implies \cfrac{s}{s}\impliedby \textit{similarity ratio}$

and simplify it away

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3 years ago

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Look at the image below where I labeled the sides

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3 years ago

PLEASE HELP Complete the table below to find solutions to the linear equation y=5x+35.

Eddi Din [679]

Answer:

x | y | (x,y)

0 | 35 | (0,35)

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-7 | 0 | (-7,0)

Step-by-step explanation:

Given the equation: $y = 5x + 35$ , to complete the table, plug in the value of x given in the table in each row, to find y.

When x = 0,

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3 years ago